Combining Philosophers

All the ideas for Anon (Tor), Rod Girle and Gavin Hesketh

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38 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
There are three axiom schemas for propositional logic [Girle]
Propositional logic handles negation, disjunction, conjunction; predicate logic adds quantifiers, predicates, relations [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
Proposition logic has definitions for its three operators: or, and, and identical [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axiom systems of logic contain axioms, inference rules, and definitions of proof and theorems [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
There are seven modalities in S4, each with its negation [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
◊p → □◊p is the hallmark of S5 [Girle]
S5 has just six modalities, and all strings can be reduced to those [Girle]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Possible worlds logics use true-in-a-world rather than true [Girle]
Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle]
Modal logic has four basic modal negation equivalences [Girle]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Necessary implication is called 'strict implication'; if successful, it is called 'entailment' [Girle]
5. Theory of Logic / H. Proof Systems / 5. Tableau Proof
If an argument is invalid, a truth tree will indicate a counter-example [Girle]
10. Modality / A. Necessity / 3. Types of Necessity
Analytic truths are divided into logically and conceptually necessary [Girle]
10. Modality / B. Possibility / 1. Possibility
Possibilities can be logical, theoretical, physical, economic or human [Girle]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A world has 'access' to a world it generates, which is important in possible worlds semantics [Girle]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
God made man in his own image [Anon (Tor)]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
The names of all the types of creature were given forever by Adam [Anon (Tor)]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Relativity and Quantum theory give very different accounts of forces [Hesketh]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Thermodynamics introduced work and entropy, to understand steam engine efficiency [Hesketh]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / a. Electrodynamics
Photons are B and W° bosons, linked by the Higgs mechanism [Hesketh]
Spinning electric charge produces magnetism, so all fermions are magnets [Hesketh]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Electrons may have smaller components, bound by a new force [Hesketh]
Electrons are fundamental and are not made of anything; they are properties without size [Hesketh]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Quantum mechanics is our only theory, and is very precise, and repeatedly confirmed [Hesketh]
Physics was rewritten to explain stable electron orbits [Hesketh]
Virtual particles can't be measured, and can ignore the laws of physics [Hesketh]
27. Natural Reality / B. Modern Physics / 3. Chromodynamics / a. Chromodynamics
Colour charge is positive or negative, and also has red, green or blue direction [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / b. Standard model
The Standard Model omits gravity, because there are no particles involved [Hesketh]
In Supersymmetry the Standard Model simplifies at high energies [Hesketh]
Standard Model forces are one- two- and three-dimensional [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / c. Particle properties
Quarks and leptons have a weak charge, for the weak force [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / e. Protons
Quarks rush wildly around in protons, restrained by the gluons [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / f. Neutrinos
Neutrinos only interact with the weak force, but decays produce them in huge numbers [Hesketh]
27. Natural Reality / B. Modern Physics / 5. Unified Models / c. Supersymmetry
To combine the forces, they must all be the same strength at some point [Hesketh]
27. Natural Reality / C. Space / 5. Relational Space
'Space' in physics just means location [Hesketh]
27. Natural Reality / E. Cosmology / 8. Dark Matter
The universe is 68% dark energy, 27% dark matter, 5% regular matter [Hesketh]
27. Natural Reality / E. Cosmology / 9. Fine-Tuned Universe
If a cosmic theory relies a great deal on fine-tuning basic values, it is probably wrong [Hesketh]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
And God saw the light, that it was good [Anon (Tor)]